Hodge and Frobenius colevels of algebraic varieties

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-04-21 DOI:10.1112/jlms.70160

Daqing Wan, Dingxin Zhang

引用次数: 0

Abstract

We provide new improved lower bounds for the Hodge and Frobenius colevels of algebraic varieties (over $C$ or over a finite field) in all cohomological degrees. These bounds are expressed in terms of the dimension of the variety and multi-degrees of its defining equations. Our results lead to an enhanced positive answer to a question raised by Esnault and the first author.

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代数变体的霍奇和弗罗贝尼斯共级

我们给出了所有上同调度上代数变量（C $\mathbb {C}$或有限域上）的Hodge和Frobenius水平的新的改进下界。这些边界是用它的定义方程的变化和多次的维数来表示的。我们的结果为Esnault和第一作者提出的问题提供了一个更积极的答案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.